In this paper,we first investigate some basic properties of asymptotically mean almost periodic random sequences on Z + and then show some properties of asymptotically mean almost periodic solutions to random difference equations.
Xidong Sun,Baifeng Liu,Yuliang Han(College of Math.and Information Sciences,Shandong Institute of Business and Technology,Yantai 264005,Shandong)
In this paper, we first study the properties of asymptotically almost periodic functions in probability and then prove the existence of almost periodic solutions in probability to some differential equations with random terms.
By applying the properties of almost periodic function and exponential dichotomy of linear system as well as Banach fixed point theorem,we establish the conditions for the existence and uniqueness of square-mean almost periodic solution to some stochastic functional differential equations.
Baifeng Liu,Xidong Sun,Yuliang Han(College of Math.and Information Sciences,Shandong Institute of Business and Technology,Yantai 264005,Shandong)
